The diagonal of a rectangle is 110cm and its width is 63cm. How do you find its length?

Answer 1

Length = 90.172 cm

#110^2=63^2+x^2#
#x^2=110^2-63^2#
#x^2=12100-3969#
#x^2=8131#
#x=sqrt(8131)#
#x=90.172#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the length of the rectangle, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the other two sides (the length and width of the rectangle).

Using this theorem, we can set up the equation:

Length^2 + Width^2 = Diagonal^2

Substituting the given values:

Length^2 + 63^2 = 110^2

Simplifying the equation:

Length^2 + 3969 = 12100

Subtracting 3969 from both sides:

Length^2 = 8131

Taking the square root of both sides:

Length = √8131

Therefore, the length of the rectangle is approximately 90.14 cm.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7